We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
159
2
avatar+30 

Solve, then graph the following problems.

 

14a3- 3/a2=426

 

16/n* 2.352=425.32

 Dec 3, 2018
edited by DaP1ckle  Dec 3, 2018
 #1
avatar+101870 
+1

14a^3- 3/a^2=426     [ I'll use "x" instead of "a" ]

 

14^x^3 -3/x^2 - 426 = 0      multiply through by x^2

 

14x^5 - 3 - 426x^2 = 0

 

14x^5 - 426x^2 - 3 = 0

 

 

This does not have an algebraic solution, DP   [ or, at least, I don't think that it does ]

 

There is only one real root at x = a  ≈ 3.12

 

There are also   4 complex roots

 

Here is the graph and solution  found by WolframAlpha :

 

https://www.wolframalpha.com/input/?i=14x%5E5+-+3+-+426x%5E2+%3D+0

 

 

cool cool  cool

 Dec 3, 2018
 #2
avatar+101870 
+1

16/n^2 * 2.352 = 425.32

 

Divide both sides by 2.352

 

16/n^2 = 425.32 / 2.352    and we can write

 

n^2 /16 = 2.352 / 425.32    multiply both sides by 16

 

n^2 =   16*2.352 / 425.32     take both roots 

 

n = ±√ [ 16* 2.352 / 425.32]  ≈   ± 0.297

 

Here is the graph :  https://www.wolframalpha.com/input/?i=16%2Fn%5E2%C2%A0*+2.352+%3D+425.32

 

cool cool cool

 Dec 3, 2018

16 Online Users

avatar
avatar
avatar